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arXiv · 0808.2187

Ab-initio shell model with a core

A. F. Lisetskiy·B. R. Barrett·M. K. G. Kruse·P. Navratil·I. Stetcu·J. P. Vary
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Abstract

We construct effective 2- and 3-body Hamiltonians for the p-shell by performing 12\hbarΩab initio no-core shell model (NCSM) calculations for A=6 and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the 0\hbarΩspace. We then separate these effective Hamiltonians into 0-, 1- and 2-body contributions (also 3-body for A=7) and analyze the systematic behavior of these different parts as a function of the mass number A and size of the NCSM basis space. The role of effective 3- and higher-body interactions for A>6 is investigated and discussed.

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A. F. Lisetskiy, B. R. Barrett, M. K. G. Kruse, P. Navratil, I. Stetcu, J. P. Vary. 2008-08-15. Ab-initio shell model with a core. https://doi.org/10.1103/physrevc.78.044302

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